Modulation of Signals

1. A method of controlling peak to average power ratio (PAPR) of an orthogonal frequency divisional multiplexing (OFDM) signal, comprising: with a serial to parallel converter of an OFDM modulator, separating an input OFDM signal into real and imaginary components; with the OFDM modulator, scaling the real and imaginary components of the input OFDM signal to produce scaled real and scaled imaginary components of the input OFDM signal; with the OFDM modulator, adding an offset term to the scaled real component of the input OFDM signal to produce an adapted real component of the input OFDM signal; with the OFDM modulator, phase modulating the adapted real component and the scaled imaginary component to produce a phase modulated OFDM signal including a phase modulated real component and a phase modulated imaginary component; and with the OFDM modulator, subtracting a dominant frequency component of the phase modulated OFDM signal from the phase modulated OFDM signal to produce an output signal with a controlled PAPR for transmission; wherein: the offset term impacts a value of the dominant frequency component.

2. The method of claim 1 , wherein the scaled real and scaled imaginary components of the input OFDM signal are represented by the following expressions, respectively: Φ 1 ⁡ ( t ) = ⁢ ( m ⁡ ( t ) ) ϛ ; and ⁢ ⁢ Φ 2 ⁡ ( t ) = ⁢ ( m ⁡ ( t ) ) ϛ in which (Φ 1 (t)) is the scaled real component, (Φ 2 (t)) is the scaled imaginary component, and are the real and imaginary components of the input OFDM signal, m(t) is an N-point inverse Fourier transform function, and ζ is a constant non-zero division term.

3. The method of claim 1 , further comprising, performing an inverse fast fourier transform (IFFT) operation with said OFDM modulator to produce said input OFDM signal.

4. The method of claim 1 , further comprising: subtracting the phase modulated imaginary component from the phase modulated real component prior to subtracting said dominant frequency component.

6. The method of claim 5 , wherein Ψ os is at least twenty two times larger than Φ 1 (t) and Φ 2 (t).

7. The method of claim 5 , wherein: γ2 ⁢ ⁢ J 0 ⁡ ( β ) 2 ⁢ sin ⁡ ( 2 ⁢ π ⁢ ⁢ f c ⁢ t - Ψ OS 2 ) , 0 ≤ γ < 1 represents the dominant frequency component, in which γ is a dominant frequency component control factor, β is an adapted phase deviation of the real component and imaginary component of the input OFDM signal, and J 0 (β) is a Bessel function of the first kind of order 0 and argument β.

8. The method of claim 7 , further comprising, with the OFDM modulator, adjusting γ to a value between 0 and 1.0.

9. A method of demodulating an orthogonal frequency-division multiplexing (OFDM) signal, comprising, with an OFDM demodulator: receiving an input modulated signal; detecting a peak to average power ratio (PAPR) of the input modulated signal; determining a predefined dominant frequency component control factor and a constant division term of the input modulated signal at least in part by examining the detected PAPR of the input modulated signal; adding the predefined dominant frequency component to the input modulated signal to produce an input OFDM modulated signal; and demodulating the input OFDM modulated input signal.

10. The method of claim 9 , further comprising, with said OFDM demodulator: performing a fast Fourier transform (FFT) on the input OFDM modulated signal.

11. The method of claim 10 , further comprising passing the input OFDM modulated signal through an equalizer.

12. The method of claim 9 , wherein said OFDM demodulator determines said dominant frequency component control factor at least in part by accessing a lookup table that correlates PAPR to a plurality of predefined dominant frequency component control factor values, (γ), an offset term (Ψ os ) and the constant division term (ζ).

13. An Orthogonal Frequency-Division Multiplexing (OFDM) modulator for controlling a peak to average power ratio (PAPR) of an OFDM transmission, comprising: a multiplier configured to scale imaginary and real components of a transformed OFDM input signal to produce a scaled real component and a scaled imaginary component; an offset term adder configured to add an offset term to the scaled real component of the transformed OFDM input signal, so as to produce an adapted real component; a phase modulator configured to phase modulate the adapted real component and the scaled imaginary component of the transformed OFDM input signal using a cosinusoidal to produce a phase modulated OFDM signal including a phase modulated OFDM imaginary component and a phase modulated OFDM adapted real component; a subtractor configured to subtract the phase modulated OFDM imaginary component from the phase modulated OFDM adapted real component; and a subtractor configured to subtract a predefined dominant frequency from the phase modulated OFDM signal to produce an output signal with a controlled PAPR for transmission.

14. An Orthogonal Frequency-Division Multiplexing (OFDM) demodulator, comprising: a Peak-to-Average Power Ratio (PAPR) detector configured to determine a PAPR of an input modulated signal; a memory comprising a lookup table referencing the PAPR against predefined values for a dominant frequency component control factor (γ), an offset term (Ψ os ), and a constant division term (ζ); a processor configured to determine a predefined dominant frequency component control factor value associated with said input modulated signal from the predefined values in the lookup table; an adder configured to add the predefined dominant frequency component control factor value to the input modulated signal to produce an input OFDM modulated signal; and an OFDM demodulator configured to demodulate the input OFDM modulated signal.